Large data local solutions for the derivative NLS equation

Ioan Bejenaru, Daniel Tataru
2008 Journal of the European Mathematical Society (Print)  
We consider the derivative NLS equation with general quadratic nonlinearities. In [2] the first author has proved a sharp small data local well-posedness result in Sobolev spaces with a decay structure at infinity in dimension n = 2. Here we prove a similar result for large initial data in all dimensions n ≥ 2.
doi:10.4171/jems/136 fatcat:cxlrctazxrha5obnvsfkhob3sa